Quantitative Aptitude Ques 33

Question: A started with an investment of Rs. 28000. After 2 months, B joins with Rs. 20000 and after another two months C joins with Rs. 18000. At the end of 10th month from start of the business, if B withdraws Rs. 2000 and C withdraws Rs. 2000 what is the respective ratio in which profit should be distributed among A, B and C at the end of the year?

Options:

A) 12: 7: 5

B) 12: 9: 5

C) 12: 6: 3

D) 14: 7: 5

E) 11: 9: 7

Show Answer

Answer:

Correct Answer: A

Solution:

  • Total investment by $ A=28000\times 12 $ Total investment by $ B=20000\times 8+18000\times 2 $ $ =160000+36000 $ $ =196000 $ Total investment by $ C=18000\times 6+16000\times 2 $ $ =108000+32000=140000 $ Respective ratio $ =A:B:C $ $ =336000:196000:140000 $ $ =336:196:140 $ $ =84:49:35=12:7:5. $ And distribution of profit among partners is same as their investment.

$ \therefore $ Profit should be distributed in $ 12:7:5. $